To find the value of [tex]\( \sqrt[3]{64} \)[/tex], follow these steps:
1. Understand the Problem: We need to calculate the cube root of [tex]\( 64 \)[/tex]. The cube root of a number [tex]\( x \)[/tex] is a number [tex]\( y \)[/tex] such that [tex]\( y^3 = x \)[/tex].
2. Express the Cube Root: Mathematically, the cube root of [tex]\( 64 \)[/tex] is denoted as [tex]\( \sqrt[3]{64} \)[/tex].
3. Solve for the Cube Root:
[tex]\[
\sqrt[3]{64} = y \implies y^3 = 64
\][/tex]
Our task is to determine the value of [tex]\( y \)[/tex].
4. Compute the Value:
By evaluating [tex]\( \sqrt[3]{64} \)[/tex], we find that the nearest precise answer is approximately [tex]\( 3.9999999999999996 \)[/tex].
5. Conclude:
So, the value of [tex]\( \sqrt[3]{64} \)[/tex] is approximately [tex]\( 3.9999999999999996 \)[/tex].
